Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries

Elsa Ghandour; Sigmundur Gudmundsson

doi:10.1007/s12215-023-00882-8

Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries

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In this work we construct a variety of new complex-valued proper biharmonic maps and (2, 1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.

Originalspråk	engelska
Sidor (från-till)	4101-4114
Tidskrift	Rendiconti del Circolo Matematico di Palermo
Volym	72
Nummer	8
Tidigt onlinedatum	2023
DOI	https://doi.org/10.1007/s12215-023-00882-8
Status	Published - 2023

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Geometri

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10.1007/s12215-023-00882-8

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title = "Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries",

abstract = "In this work we construct a variety of new complex-valued proper biharmonic maps and (2, 1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.",

keywords = "Conformal foliations, Harmonic morphisms, Lie groups, Minimal foliations",

author = "Elsa Ghandour and Sigmundur Gudmundsson",

year = "2023",

doi = "10.1007/s12215-023-00882-8",

language = "English",

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pages = "4101--4114",

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AB - In this work we construct a variety of new complex-valued proper biharmonic maps and (2, 1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.

KW - Conformal foliations

KW - Harmonic morphisms

KW - Lie groups

KW - Minimal foliations

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DO - 10.1007/s12215-023-00882-8

M3 - Article

AN - SCOPUS:85152460027

SN - 0009-725X

VL - 72

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JO - Rendiconti del Circolo Matematico di Palermo

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Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries

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